{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c8244740-70f8-458c-a017-806505de7c4e",
   "metadata": {},
   "source": [
    "Chapter 04\n",
    "# 广义幂转换\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a4c23209-5fee-4138-99ae-09f3f676760b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cc35f149-2ec3-4401-845f-e65a5a40eeb5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# original data: exponential distribution\n",
    "original_X = np.random.exponential(size = 1000)\n",
    "  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "16aec11c-8de6-469f-a3dc-11f770da35a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Box-Cox tpower transformation\n",
    "new_X, fitted_lambda = stats.boxcox(original_X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2d8becd4-1282-46cd-8a30-f41b944656fd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Count'>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Yeo-Johnson power transformation\n",
    "# new_X, fitted_lambda = stats.yeojohnson(original_X)\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots(1, 2)\n",
    "\n",
    "sns.histplot(original_X, \n",
    "             kde = True,\n",
    "             label = \"Original\", ax = ax[0])\n",
    "  \n",
    "sns.histplot(new_X, \n",
    "             kde = True,\n",
    "             label = \"Original\", ax = ax[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "786f6883-edfc-4356-954e-5f575f1d57f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# QQ plot\n",
    "\n",
    "fig, ax = plt.subplots(1, 2)\n",
    "\n",
    "stats.probplot(original_X, dist=stats.norm, plot=ax[0])\n",
    "ax[0].set_xlabel('Normal')\n",
    "ax[0].set_ylabel('Original data')\n",
    "ax[0].set_title('')\n",
    "\n",
    "stats.probplot(new_X, dist=stats.norm, plot=ax[1])\n",
    "ax[1].set_xlabel('Normal')\n",
    "ax[1].set_ylabel('Transformed data')\n",
    "ax[1].set_title('')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
